Bellman Type Inequality for Sugeno Integrals

In this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illustrate theorems with some examples.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-04-01
DOI
https://doi.org/10.22130/scma.2025.2039070.1856
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Bellman Type Inequality for Sugeno Integrals

SHILAP Revista de lepidopterología
Nonlinear Differential Equations Analysis
article

Bellman Type Inequality for Sugeno Integrals

article en

Abstract

In this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces. The strengthened version of this inequality is demonstrated in pseudo-integrals and abstract spaces. Also, we illustrate theorems with some examples.

SHILAP Revista de lepidopterología
University of Maragheh (IR)
Reduced inequalities
Openalex Percentile: Top 46%
Nonlinear Differential Equations Analysis
DOIOpen Access PDFOpenAlex
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Bellman Type Inequality for Sugeno Integrals · SHILAP Revista de lepidopterología (2025) | TGRS Research Map | TGRS